A characterization of Euclidean norms in finite dimension

zbMath0757.46039MaRDI QIDQ1813179

Georges Lion

Publication date: 25 June 1992

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

zbMATH Keywords

extreme point setcharacterization of finite-dimensional Hilbert spacesconvex transitivityKrejn-Mil'man theorem

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Metric geometry (51F99) Isomorphic theory (including renorming) of Banach spaces (46B03) Compact groups (22C05) Convex sets and cones of operators (47L07)

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